What is x^2+y^2=x-y ?

The solution to x^2+y^2=x-y is Circle with (a,b)=(1/2 ,-1/2),r=sqrt(1/2)

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x^2+y^2=x-y

x^{2} + y^{2} = x - y

(a, b) = (\frac{1}{2}, - \frac{1}{2}), r = \frac{1}{2}

Solution steps

x^{2} + y^{2} = x - y

Rewrite

x^{2} + y^{2} = x - y

in the form of the standard circle equation

(x - \frac{1}{2})^{2} + (y - (- \frac{1}{2}))^{2} = (\frac{1}{2})^{2}

Therefore the circle properties are:

(a, b) = (\frac{1}{2}, - \frac{1}{2}), r = \frac{1}{2}

x^{2} + y^{2} - 280 x + 4244 y + 464 = 0

x^{2} - 4 x + y^{2} - 10 y = - 20

x^{2} + y^{2} - 6 x - 8 y - 35 = 0

x^{2} - 4 x + y^{2} - 10 y = - 28

4 x^{2} + 8 x + 4 y^{2} - 12 y = 51

What is x^2+y^2=x-y ?
The solution to x^2+y^2=x-y is Circle with (a,b)=(1/2 ,-1/2),r=sqrt(1/2)